Evolution of Arnold's tongues in a Z(2)-symmetric electronic circuit

Authors
Algaba, A Merino, M Rodriguez-Luis, AJ
Citation
A. Algaba et al., Evolution of Arnold's tongues in a Z(2)-symmetric electronic circuit, IEICE T FUN, E82A(9), 1999, pp. 1714-1721
Citations number
16
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
ISSN journal
09168508 → ACNP
Volume
E82A
Issue
9
Year of publication
1999
Pages
1714 - 1721
Database
ISI
SICI code
0916-8508(199909)E82A:9<1714:EOATIA>2.0.ZU;2-3
Abstract
In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z(2)-symmetric electronic circuit. These legions, bounded by curves of folds (saddle-node bifurcations) may be closed or open depending on the values of the paramete rs. An angular degeneracy on the torus bifurcation curve originates the ban ana shape of Arnold's tongues. The presence of homoclinic bifurcations is a lso pointed out.